Periodic orbits and gravitational wave radiation in short hair black hole spacetimes for an extreme mass ratio system

Abstract For a short hair black hole(BH) that bypasses the “no-short-hair” theorem, its hair parameters have a significant impact near the event horizon and may thus carry the internal information of the BH. This paper studies the influence of the hair parameter $$Q_m$$ Q m and the structural parame...

Full description

Saved in:
Bibliographic Details
Main Authors: Lai Zhao, Meirong Tang, Zhaoyi Xu
Format: Article
Language:English
Published: SpringerOpen 2025-01-01
Series:European Physical Journal C: Particles and Fields
Online Access:https://doi.org/10.1140/epjc/s10052-025-13767-0
Tags: Add Tag
No Tags, Be the first to tag this record!
_version_ 1832585441377779712
author Lai Zhao
Meirong Tang
Zhaoyi Xu
author_facet Lai Zhao
Meirong Tang
Zhaoyi Xu
author_sort Lai Zhao
collection DOAJ
description Abstract For a short hair black hole(BH) that bypasses the “no-short-hair” theorem, its hair parameters have a significant impact near the event horizon and may thus carry the internal information of the BH. This paper studies the influence of the hair parameter $$Q_m$$ Q m and the structural parameter $$k$$ k of the short hair BH on the periodic orbits of particles and gravitational wave radiation in the extreme mass ratio(EMR) system. The research results show that $$Q_m$$ Q m has a significant impact on the radius of the orbit, angular momentum, and the $$E-L$$ E - L space. A larger value of $$k$$ k weakens this effect and makes it degenerate with the Schwarzschild BH. In addition, an increase in $$Q_m$$ Q m or a decrease in $$k$$ k will lead to a reduction in the period of gravitational waves and a significant enhancement of the signal amplitude. These results provide new observational means for distinguishing short hair BH from classical BH and also offer new insights for verifying the no-hair theorem and understanding the physical behaviors near the event horizon.
format Article
id doaj-art-9764dc37038a40b785533d13cb7fc228
institution Kabale University
issn 1434-6052
language English
publishDate 2025-01-01
publisher SpringerOpen
record_format Article
series European Physical Journal C: Particles and Fields
spelling doaj-art-9764dc37038a40b785533d13cb7fc2282025-01-26T12:49:44ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60522025-01-0185111710.1140/epjc/s10052-025-13767-0Periodic orbits and gravitational wave radiation in short hair black hole spacetimes for an extreme mass ratio systemLai Zhao0Meirong Tang1Zhaoyi Xu2College of Physics, Guizhou UniversityCollege of Physics, Guizhou UniversityCollege of Physics, Guizhou UniversityAbstract For a short hair black hole(BH) that bypasses the “no-short-hair” theorem, its hair parameters have a significant impact near the event horizon and may thus carry the internal information of the BH. This paper studies the influence of the hair parameter $$Q_m$$ Q m and the structural parameter $$k$$ k of the short hair BH on the periodic orbits of particles and gravitational wave radiation in the extreme mass ratio(EMR) system. The research results show that $$Q_m$$ Q m has a significant impact on the radius of the orbit, angular momentum, and the $$E-L$$ E - L space. A larger value of $$k$$ k weakens this effect and makes it degenerate with the Schwarzschild BH. In addition, an increase in $$Q_m$$ Q m or a decrease in $$k$$ k will lead to a reduction in the period of gravitational waves and a significant enhancement of the signal amplitude. These results provide new observational means for distinguishing short hair BH from classical BH and also offer new insights for verifying the no-hair theorem and understanding the physical behaviors near the event horizon.https://doi.org/10.1140/epjc/s10052-025-13767-0
spellingShingle Lai Zhao
Meirong Tang
Zhaoyi Xu
Periodic orbits and gravitational wave radiation in short hair black hole spacetimes for an extreme mass ratio system
European Physical Journal C: Particles and Fields
title Periodic orbits and gravitational wave radiation in short hair black hole spacetimes for an extreme mass ratio system
title_full Periodic orbits and gravitational wave radiation in short hair black hole spacetimes for an extreme mass ratio system
title_fullStr Periodic orbits and gravitational wave radiation in short hair black hole spacetimes for an extreme mass ratio system
title_full_unstemmed Periodic orbits and gravitational wave radiation in short hair black hole spacetimes for an extreme mass ratio system
title_short Periodic orbits and gravitational wave radiation in short hair black hole spacetimes for an extreme mass ratio system
title_sort periodic orbits and gravitational wave radiation in short hair black hole spacetimes for an extreme mass ratio system
url https://doi.org/10.1140/epjc/s10052-025-13767-0
work_keys_str_mv AT laizhao periodicorbitsandgravitationalwaveradiationinshorthairblackholespacetimesforanextrememassratiosystem
AT meirongtang periodicorbitsandgravitationalwaveradiationinshorthairblackholespacetimesforanextrememassratiosystem
AT zhaoyixu periodicorbitsandgravitationalwaveradiationinshorthairblackholespacetimesforanextrememassratiosystem